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Finding the Fourth Proportional to 2,409.95, 3,614.56 and 828.91

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Solution

The fourth proportional to 2,409.95, 3,614.56 and 828.91 is: 1,243.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.95 : 3,614.56 = 828.91 : x
  2. Step 2: Convert to fraction form
    2,409.95/3,614.56 = 828.91/x
  3. Step 3: Cross multiply
    2,409.95x = 3,614.56 × 828.91
  4. Step 4: Simplify right side
    2,409.95x = 2,996,147.42
  5. Step 5: Solve for x
    x = 2,996,147.42/2,409.95
  6. Step 6: Final answer
    x = 1,243.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.